give me formula and definition of coordinate geometry class 9
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Step-by-step explanation:
The coordinate plane is a grid that has horizontal and vertical axes. The x-axis is the horizontal axis and the y-axis is the vertical axis. The point where the two axes intersect is called the origin. The coordinates of the origin are (0,0). ... For example, let's plot the points C(-3, 6) and D(4, -2)..
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Answer:
All Formulas of Coordinate Geometry
General Form of a Line Ax + By + C = 0
Slope Intercept Form of a Line y = mx + c
Point-Slope Form y − y1= m(x − x1)
The slope of a Line Using Coordinates m = Δy/Δx = (y2 − y1)/(x2 − x1)
The slope of a Line Using General Equation m = −(A/B)
Intercept-Intercept Form x/a + y/b = 1
Distance Formula |P1P2| = √[(x2 − x1)2 + (y2 − y1)2]
For Parallel Lines, m1 = m2
For Perpendicular Lines, m1m2 = -1
Midpoint Formula M (x, y) = [½(x1 + x2), ½(y1 + y2)]
Angle Formula tan θ = [(m1 – m2)/ 1 + m1m2]
Area of a Triangle Formula ½ |x1(y2−y3)+x2(y3–y1)+x3(y1–y2)|
Distance from a Point to a Line d = [|Ax0 + By0 + C| / √(A2 + B2)]
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